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Finding the Fourth Proportional to 14,314.63, 19,752.36 and 8,344.81

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Solution

The fourth proportional to 14,314.63, 19,752.36 and 8,344.81 is: 11,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.63 : 19,752.36 = 8,344.81 : x
  2. Step 2: Convert to fraction form
    14,314.63/19,752.36 = 8,344.81/x
  3. Step 3: Cross multiply
    14,314.63x = 19,752.36 × 8,344.81
  4. Step 4: Simplify right side
    14,314.63x = 164,829,691.25
  5. Step 5: Solve for x
    x = 164,829,691.25/14,314.63
  6. Step 6: Final answer
    x = 11,514.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.